# Parallelogram

## Questions on Area of Parallelogram and Triangle

In this post we will discuss questions related to area of parallelogram and triangle theorem. If you want to revisit the theorem, given below is the relevant link. Question 01ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find …

## Area of Parallelogram and Triangle

In this chapter we will prove that if any parallelogram and triangle have same base and lie between same parallel line then the area of triangle is half of area of parallelogram. Consider the above figure in which;ABCD is a parallelogram;APD is a triangle; Note that both parallelogram ABCD and triangle PAB;-> have same base …

## Parallelogram theorem – Parallelograms on same base and between same parallel lines are equal in area

In this post we’ll discuss important theorem about parallelogram.The theorem is very important and you have to remember it as it will help you solve variety of problems in your examination. Consider the below parallelogram ABCD and EFCD.Note that both the parallelograms have same base CD.Also, both the parallelograms lie between same parallel lines AF …

## Prove that if diagonal of quadrilateral bisect each other then it is parallelogram

Consider the below quadrilateral ABCD in which diagonals bisect each other. Given:ABCD is a quadrilateral.AC & BD are diagonals bisecting each other.Hence, AO = OC and BO = OD. To Prove:Prove that the given quadrilateral is a parallelogram. Proof:Consider triangle AOB and COD; AO = OC (given)∠AOB = ∠COD ( vertically opposite angle)BO = OD …

## Prove that diagonals of parallelogram bisect each other

Consider the below parallelogram ABCD with diagonals AC and BD. Given:We know that opposite sides of parallelogram are equal.AB = CDAD = BC Also in parallelogram, opposite sides are parallel to each other.AB || CDAD || BC To prove:Diagonals bisect each other.AO = OCDO = OB Proof:Consider triangle AOD and BOC. AD = BC (given)∠DAO …

## Opposite sides of parallelogram are equal

In this chapter we will prove that ” in parallelogram, opposite sides are equal “. This is very important property so make sure you remember it for your exam. Given:ABCD is a parallelogram in which opposite sides are parallel to each other.AB || CD and AD || CB To Prove:Prove that opposite sides are equal …

## Parallelogram Area Questions

In this post we will discuss area of parallelogram questions. All the questions are solved step by step so that you can understand the concept in full details.Let us understand the properties of parallelogram so that you can solve the questions easily Properties of Parallelogram Parallelogram is a quadrilateral with four sides where the opposite …